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Finding the Fourth Proportional to 714,788.90, 986,404.23 and 408,870.38

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Solution

The fourth proportional to 714,788.90, 986,404.23 and 408,870.38 is: 564,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,788.90 : 986,404.23 = 408,870.38 : x
  2. Step 2: Convert to fraction form
    714,788.90/986,404.23 = 408,870.38/x
  3. Step 3: Cross multiply
    714,788.90x = 986,404.23 × 408,870.38
  4. Step 4: Simplify right side
    714,788.90x = 403,311,472,353.71
  5. Step 5: Solve for x
    x = 403,311,472,353.71/714,788.90
  6. Step 6: Final answer
    x = 564,238.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.